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Finding the Fourth Proportional to 643.38, 888.10 and 495.84

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Solution

The fourth proportional to 643.38, 888.10 and 495.84 is: 684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.38 : 888.10 = 495.84 : x
  2. Step 2: Convert to fraction form
    643.38/888.10 = 495.84/x
  3. Step 3: Cross multiply
    643.38x = 888.10 × 495.84
  4. Step 4: Simplify right side
    643.38x = 440,355.50
  5. Step 5: Solve for x
    x = 440,355.50/643.38
  6. Step 6: Final answer
    x = 684.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.